Render of a Whirlpool Sphere animation created using Functy and animated in Blender. Although this isn't a torus, it was inspired by ~zipper's amazing Torus knot fun animation. Much credit also goes to ~Tonyralano for his direction and help with the modelling.

The file is large I'm afraid, and the animations will run slowly until it's fully downloaded.

Note also it's an APNG which may not be supported by your browser (apparently IE and Safari don't support it).

The function for the parametric curve this represents is the following:

Thanks It comes from wanted to render 3D objects, but not having the talent or skill for 3D modelling. Sadly the equations aren't very beautiful and always end up being full of sines and cosines. I can't seem to get good results with anything more esoteric